REPRESENTING CURVES AND SURFACES

Introduction

Computer Aided Designingis a form of creating computer graphics with the help of different aides likesolid modelingandgeometric modeling, these modeling is parts of the topic, Representation of Curves and Surfaces.Geometric modelingtechniques were previously aimed at developing the auto mobile industry for designing the car bodies. Slowly its application got wide and it started getting used in different sectors like designing numerous the objects and structures. Solid Modeling Techniques was developed in the 70’s for designing the internal as well external parts of the computers. They were more widely used as they support calculations of properties of objects such as mass, volume etc.

Geometric Modeling

Geometric Modelingwas developed as back as in the 1950’s. It was mainly meant for designing car bodies in its initial period, but later it was applied in many more fields. Curves and surfaces of different shapes are mainly used here to build objects. Operations like scaling, rotation on the axes is the main feature of it.

Solid Modeling

Solid ModelingTechniques was developed in the 1970’s as a medium to mainly design computers and polyhedral models, since they had the capacity to classify any point in an three dimensional figure, be it its internal or external point, solid modeling makes it very easy. This kind of representation also supports the calculations of different characteristics of the figure such as its weight, inertia, are and volume and solid modeling also can automatically generate meshes over the object or the image for analysis and correction. But this modeling is only limited to certain geometric shapes such as the sphere, cone etc.

Geometric and Solid Modeling Grouped

Neither the Geometric Modeling nor the Solid Modeling was alone capable of building had all the properties alone in them, hence a combination of both was used to design structures, which were indeed much better than the ones built with any one of them. These structures were actually giving birth to a new technique by adding the required traits of both Solid Modeling and Geometric Modeling. These new structures supported the geometry of the Geometric Modeling as well as the approximation and calculation properties of the Solid Modeling. Hence it has the traits of both, making the structures more flexible. It will be possible to make the exact structure that is required of any shape any perfect size, having geometrical properties also. These new type of Data Structures were called the B-Rep Solid Models.

Advantages of Curves and Surfaces

· Properties and statistics of the structures can be measured. Like Its Volume, area inertia etc.

· Any type of structure was possible to make.

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